90.9k views
4 votes
(1 point) The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 5 inches per second. At what rate is the volume of the cone changing when the radius is 50 inches and the height is 40 inches?

User Jimidy
by
8.6k points

1 Answer

4 votes

Answer:

As we want to find the rate at which the volume changes, it means we need to differentiate the volume of cone with respect to time

Volume of Cone (V) = pi/3 * r^2 h

I solved this problem on paper and the image is attached herewith

(1 point) The radius of a right circular cone is increasing at a rate of 4 inches-example-1
User Oiavorskyi
by
9.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories